{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T22:38:41Z","timestamp":1776724721606,"version":"3.51.2"},"reference-count":22,"publisher":"American Mathematical Society (AMS)","issue":"225","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>In this paper, the theoretical perfectly absorbing boundary condition on the boundary of a half\u2013space domain is developed for the Maxwell system by considering the system as a whole instead of considering each component of the electromagnetic fields individually. This boundary condition allows any wave motion generated within the domain to pass through the boundary of the domain without generating any reflections back into the interior. By approximating this theoretical boundary condition a class of local absorbing boundary conditions for the Maxwell system can be constructed. Well\u2013posedness in the sense of Kreiss of the Maxwell system with each of these local absorbing boundary conditions is established, and the reflection coefficients are computed as a plane wave strikes the artificial boundary. Numerical experiments are also provided to show the performance of these local absorbing boundary conditions<\/p>","DOI":"10.1090\/s0025-5718-99-01028-5","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:44Z","timestamp":1027707284000},"page":"145-168","source":"Crossref","is-referenced-by-count":14,"title":["Absorbing boundary conditions for electromagnetic wave propagation"],"prefix":"10.1090","volume":"68","author":[{"given":"Xiaobing","family":"Feng","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1999]]},"reference":[{"issue":"20","key":"1","first-page":"1011","article-title":"Conditions aux limites absorbantes pour le syst\u00e8me de Maxwell dans le vide en dimension 3","volume":"307","author":"Bendali, Abderrahmane","year":"1988","journal-title":"C. R. Acad. Sci. Paris S\\'{e}r. I Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0249-6291","issn-type":"print"},{"key":"2","unstructured":"B. Chalinder, Conditions aux limites absorbantes pour les \u00e9quations de l\u2019 \u00e9lastodynamique lin\u00e9aire, Ph.D. Thesis, Universit\u00e9 de Saint\u2013Etienne, 1988."},{"key":"3","isbn-type":"print","volume-title":"Mathematical analysis and numerical methods for science and technology. Vol. 1","author":"Dautray, Robert","year":"1990","ISBN":"https:\/\/id.crossref.org\/isbn\/3540502076"},{"key":"4","unstructured":"E. Duceau and B. Mercier, Approche instationnaire pour la r\u00e9flexion des ondes \u00e9lectromagn\u00e9tiques, Communication aux journ\u00e9es \u201cAspects Math\u00e9matiques des Ph\u00e9nom\u00e8nes de Propagation d\u2019ondes\", INRIA, Nice 16 (1988)."},{"issue":"139","key":"5","doi-asserted-by":"publisher","first-page":"629","DOI":"10.2307\/2005997","article-title":"Absorbing boundary conditions for the numerical simulation of waves","volume":"31","author":"Engquist, Bjorn","year":"1977","journal-title":"Math. 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Mech."},{"issue":"2","key":"8","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1137\/1028050","article-title":"Initial-boundary value problems for linear hyperbolic systems","volume":"28","author":"Higdon, Robert L.","year":"1986","journal-title":"SIAM Rev.","ISSN":"https:\/\/id.crossref.org\/issn\/1095-7200","issn-type":"print"},{"issue":"176","key":"9","doi-asserted-by":"publisher","first-page":"437","DOI":"10.2307\/2008166","article-title":"Absorbing boundary conditions for difference approximations to the multidimensional wave equation","volume":"47","author":"Higdon, Robert L.","year":"1986","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"issue":"179","key":"10","doi-asserted-by":"publisher","first-page":"65","DOI":"10.2307\/2008250","article-title":"Numerical absorbing boundary conditions for the wave equation","volume":"49","author":"Higdon, Robert L.","year":"1987","journal-title":"Math. 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Taflove, Computational Electromagnetics, the Finite\u2013Difference Time\u2013Domain Method, Artech House, 1995."},{"key":"19","series-title":"Springer Tracts in Natural Philosophy","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-9679-6","volume-title":"A development of the equations of electromagnetism in material continua","volume":"36","author":"Tiersten, Harry F.","year":"1990","ISBN":"https:\/\/id.crossref.org\/isbn\/0387972412"},{"issue":"3","key":"20","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1002\/cpa.3160370305","article-title":"Instability of difference models for hyperbolic initial-boundary value problems","volume":"37","author":"Trefethen, Lloyd N.","year":"1984","journal-title":"Comm. Pure Appl. 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